How to Solve and Analyze the Mathematical Expression: 25674 - 76 ÷ 5

Understanding and solving mathematical expressions is an essential skill in mathematics and problem-solving. In this guide, we will walk you through the process of solving the expression 25674 - 76 ÷ 5 using the order of operations.

What is the Order of Operations?

Before we dive into solving the expression, it's crucial to understand the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)). This rule specifies the sequence in which mathematical operations should be performed to ensure the correct and consistent order.

Step-by-Step Breakdown

Identify the Division Operation:
Our expression is 25674 - 76 ÷ 5. According to the order of operations, we first address the division: 76 ÷ 5. Perform the Division:
76 divided by 5 equals 15.2. Ensure to check your calculation using a calculator if needed. Substitute the Result and Perform the Subtraction:
Now, substitute 15.2 back into the expression: 25674 - 15.2. Perform the subtraction from left to right: 25674 - 15.2 25658.8. Therefore, the final result of the expression 25674 - 76 ÷ 5 is 25658.8.

Interactive Practice

Understanding the order of operations can be improved through practice. Here are some additional expressions to practice on:

200 - 89 ÷ 4 450 32 ÷ 8 1200 - 45 ÷ 9

Conclusion

Mastering the order of operations is fundamental in performing mathematical calculations accurately and efficiently. By following the steps outlined, you can easily resolve complex expressions and ensure your answers are correct. Practice regularly to enhance your skills and build confidence in handling mathematical expressions.

Related Keywords

mathematical expressions, order of operations, division and subtraction